25362944640 has 1024 divisors, whose sum is σ = 106599628800. Its totient is φ = 5629870080.

The previous prime is 25362944627. The next prime is 25362944641. The reversal of 25362944640 is 4644926352.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (25362944641) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 151873837 + ... + 151874003.

It is an arithmetic number, because the mean of its divisors is an integer number (104101200).

Almost surely, 2^25362944640 is an apocalyptic number.

25362944640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25362944640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53299814400).

25362944640 is an abundant number, since it is smaller than the sum of its proper divisors (81236684160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

25362944640 is a wasteful number, since it uses less digits than its factorization.

25362944640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 25362944640 in words is "twenty-five billion, three hundred sixty-two million, nine hundred forty-four thousand, six hundred forty".